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In this paper, we consider the problem of distributed inference in tree based networks. In the framework considered in this paper, distributed nodes make a 1-bit local decision regarding a phenomenon before sending it to the fusion center…

Information Theory · Computer Science 2016-11-17 Bhavya Kailkhura , Aditya Vempaty , Pramod K. Varshney

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

Machine Learning · Computer Science 2023-04-10 Michael Muehlebach

This paper proposes a framework for categorizing economic policies in a form of a tree taxonomy. The purpose of this approach is to construct an exhaustive and standardized list of actions that a governing authority has access to and can…

General Finance · Quantitative Finance 2025-07-08 Rem Sadykhov , Geoff Goodell , Philip Treleaven

Network structure optimization is a fundamental task in complex network analysis. However, almost all the research on Bayesian optimization is aimed at optimizing the objective functions with vectorial inputs. In this work, we first present…

Machine Learning · Statistics 2018-11-07 Jiaxu Cui , Bo Yang

We study the problem of learning a good set of policies, so that when combined together, they can solve a wide variety of unseen reinforcement learning tasks with no or very little new data. Specifically, we consider the framework of…

Machine Learning · Computer Science 2022-03-16 Safa Alver , Doina Precup

Predictions using a combination of decision trees are known to be effective in machine learning. Typical ideas for constructing a combination of decision trees for prediction are bagging and boosting. Bagging independently constructs…

Machine Learning · Computer Science 2024-02-12 Keito Tajima , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

Behavior Trees are a task switching policy representation that can grant reactiveness and fault tolerance. Moreover, because of their structure and modularity, a variety of methods can be used to generate them automatically. In this short…

Robotics · Computer Science 2023-01-18 Matteo Iovino , Christian Smith

This paper presents how a mixed-integer programming (MIP) formulation for influence diagrams, based on a gradual rooted junction tree representation of the diagram, can be generalized to incorporate risk considerations such as conditional…

Optimization and Control · Mathematics 2025-05-21 Olli Herrala , Topias Terho , Fabricio Oliveira

The structure of an evolving network contains information about its past. Extracting this information efficiently, however, is, in general, a difficult challenge. We formulate a fast and efficient method to estimate the most likely history…

Physics and Society · Physics 2020-09-16 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

The study of intelligent systems explains behaviour in terms of economic rationality. This results in an optimization principle involving a function or utility, which states that the system will evolve until the configuration of maximum…

Information Theory · Computer Science 2024-06-18 Pedro Hack

Net-trees are a general purpose data structure for metric data that have been used to solve a wide range of algorithmic problems. We give a simple randomized algorithm to construct net-trees on doubling metrics using $O(n\log n)$ time in…

Computational Geometry · Computer Science 2018-09-06 Mahmoodreza Jahanseir , Donald R. Sheehy

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

It is becoming increasingly important for machine learning methods to make predictions that are interpretable as well as accurate. In many practical applications, it is of interest which features and feature interactions are relevant to the…

Machine Learning · Statistics 2016-02-09 Viktoriya Krakovna , Jiong Du , Jun S. Liu

Boosted decision trees enjoy popularity in a variety of applications; however, for large-scale datasets, the cost of training a decision tree in each round can be prohibitively expensive. Inspired by ideas from the multi-arm bandit…

Machine Learning · Computer Science 2018-05-22 Maryam Aziz , Jesse Anderton , Javed Aslam

We present a variational free-energy formulation for distributionally robust decision-making with ambiguity in the generative model. The formulation, related to a broad range of learning and control frameworks, yields a minimax optimal…

Optimization and Control · Mathematics 2026-04-10 Arash Shafiei , Caio César Graciani Rodrigues , Giovanni Russo

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Cyber-physical systems come with increasingly complex architectures and failure modes, which complicates the task of obtaining accurate system reliability models. At the same time, with the emergence of the (industrial) Internet-of-Things,…

Formal Languages and Automata Theory · Computer Science 2019-09-16 Alexis Linard , Doina Bucur , Marielle Stoelinga

Decision trees and randomized forests are widely used in computer vision and machine learning. Standard algorithms for decision tree induction optimize the split functions one node at a time according to some splitting criteria. This greedy…

Machine Learning · Computer Science 2015-11-13 Mohammad Norouzi , Maxwell D. Collins , Matthew Johnson , David J. Fleet , Pushmeet Kohli

We consider the problem of designing piecewise affine policies for two-stage adjustable robust linear optimization problems under right-hand side uncertainty. It is well known that a piecewise affine policy is optimal although the number of…

Optimization and Control · Mathematics 2018-01-23 Aharon Ben-Tal , Omar El Housni , Vineet Goyal

Addressing uncertainty is critical for autonomous systems to robustly adapt to the real world. We formulate the problem of model uncertainty as a continuous Bayes-Adaptive Markov Decision Process (BAMDP), where an agent maintains a…